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4112989834680 = 233452017629371
BaseRepresentation
bin111011110110100001010…
…011000100110110111000
3112120012100100000000110000
4323312201103010312320
51014341400344202210
612425251554153000
7603103502520546
oct73664123046670
915505310000400
104112989834680
111346344599831
1256515bb82760
1323ab1285ac8c
141030d9640d96
1571ec57d9ac0
hex3bda14c4db8

4112989834680 has 160 divisors (see below), whose sum is σ = 13831091659440. Its totient is φ = 1096251770880.

The previous prime is 4112989834663. The next prime is 4112989834693. The reversal of 4112989834680 is 864389892114.

4112989834680 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 98 + 9 + 83 + 468 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6220395 + ... + 6849765.

Almost surely, 24112989834680 is an apocalyptic number.

4112989834680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112989834680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915545829720).

4112989834680 is an abundant number, since it is smaller than the sum of its proper divisors (9718101824760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4112989834680 is a wasteful number, since it uses less digits than its factorization.

4112989834680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631411 (or 631398 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 4112989834680 in words is "four trillion, one hundred twelve billion, nine hundred eighty-nine million, eight hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 2017 3240 4034 6051 8068 10085 12102 16136 18153 20170 24204 30255 36306 40340 48408 54459 60510 72612 80680 90765 108918 121020 145224 163377 181530 217836 242040 272295 326754 363060 435672 544590 629371 653508 726120 816885 1089180 1258742 1307016 1633770 1888113 2178360 2517484 3146855 3267540 3776226 5034968 5664339 6293710 6535080 7552452 9440565 11328678 12587420 15104904 16993017 18881130 22657356 25174840 28321695 33986034 37762260 45314712 50979051 56643390 67972068 75524520 84965085 101958102 113286780 135944136 169930170 203916204 226573560 254895255 339860340 407832408 509790510 679720680 1019581020 1269441307 2039162040 2538882614 3808323921 5077765228 6347206535 7616647842 10155530456 11424971763 12694413070 15233295684 19041619605 22849943526 25388826140 30466591368 34274915289 38083239210 45699887052 50777652280 57124858815 68549830578 76166478420 91399774104 102824745867 114249717630 137099661156 152332956840 171374576445 205649491734 228499435260 274199322312 342749152890 411298983468 456998870520 514123729335 685498305780 822597966936 1028247458670 1370996611560 2056494917340 4112989834680